At which values of x does the graph of the function F(x) have a vertical asymptote? Check all that apply.A.x = -3B.x = 8C.x = 3D.x = -8E.x = 4F.x = -4

Answer:

336m^2

Step-by-step explanation:

base x height + (side1 + side2 + Height)Length

Answer: x = - 17/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

14x+70+20x+8 =180

34x + 78 = 180

34x = 102

X = 3

ABX 14(3)+70 = 112

CBX = 20(3) +8= 68

In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).

With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.

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Given :

Length of rink, L = 40 meters.

Width of rink , W = 20 meters.

To Find :

How many meters of handrail does Gus need to cover the perimeter of the rectangular skating rink.

Solution :

We know, perimeter is given by :

\(P=2(L+W)\)

Putting value of L = 40 meters and W = 20 meters, in above equation , we get:

\(P=2(40+20)\ meters\\\\P=120\ meters\)

Therefore, the perimeter of the rectangular skating rink is 120 meters.

Hence, this is the required solution.

Answer:

t≤26

Step-by-step explanation:

Answer:

(5,2)

Step-by-step explanation:

when you plug them in they appear true!

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

Answer:

The first option 5/12 - 1/6

Step-by-step explanation:

5/12 - 1/6

Just open the parenthesis and be careful of the signs.

The system of equations represents their transportation costs is:

50 − 2. 5x = y

40 − 2x = y

The correct option is  (A)

Given,

In the question:

Kaisorn deposits $50. 00 onto her public transportation card.

It costs her $2. 50 per trip to ride the subway.

Thom deposits $40. 00 on his public transportation card.

It costs him $2. 00 per trip to ride the subway.

Now, According to the question:

x → represents  the number of trips

y → represents the amount remaining in each account

According to the given condition:

The system of equations represents their transportation costs is :

50 − 2. 5x = y

40 − 2x = y

Hence, The system of equations represents their transportation costs is:

50 − 2. 5x = y

40 − 2x = y

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Answer: It is C

Step-by-step explanation: Love the movie I cry that Jake didn't make it :(

Answer:

a, e, and d are all congruent

Step-by-step explanation:

they r all the same size and lengths

Those three triangles are; A,D,E

How? well see the attachment for this, have tried to make you understand.

The value of x from the given cross-section notes, if the width of roadway is 9m with side slope of 1:1, is 5.60 (option c).

Let us see how we can compute the value of x from the given cross-sectional notes. We are given that:

Width of roadway is 9m

Side slope is 1:1

The cross-sectional notes are:

5.42/+0.92+4.25+X/0.60

From the given cross-sectional notes, we can see that the left-hand side slope is +0.92 and the right-hand side slope is -0.60 (as the right-hand side is below the axis).

Let us now consider the left-hand side of the cross-section:

5.42/+0.92.

The elevation at the left edge is 5.42 m and the side slope is 1:1. Therefore, the width of this part will be:

width = elevation/slope

= 5.42/1

= 5.42 m

Now, let us consider the right-hand side of the cross-section: +4.25+X/0.60

The elevation at the right edge is +4.25 m and the side slope is 1:1. Therefore, the width of this part will be:

width = elevation/slope

= 4.25/1

= 4.25 m

The total width of the road will be the sum of the widths of the left and right parts:

total width = 5.42 + 4.25

= 9.67 m

We are given that the width of the road is 9 m. Therefore, we need to reduce the value of x such that the total width becomes 9 m:

9 = 5.42 + 4.25 + x/0.609

= 9 - 5.42 - 4.259

= 0.30 * 0.60x

= 0.18 + 4.25x

= 4.43 m

Now, we can find the total width:

total width = 5.42 + 4.25 + 4.43/0.60

total width = 5.42 + 4.25 + 7.38

total width = 16.05 m

Therefore, the value of x is:

total width - (width of left part + width of right part) = 16.05 - 9.67

= 6.38 m

Now we can convert the value of x to a ratio using the side slope:

+X/0.60 = 6.38/0.60

X = 3.83

Therefore, the ratio of the side slope is 3.83:0.60 = 6.38:1

The value of x from the given cross-section notes, if the width of roadway is 9m with side slope of 1:1, is 5.60 (option c).

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The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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We have to make a suspicion based on the given data. The standard deviations of the three bunches are not given within the address, so we cannot straightforwardly decide whether the condition of equal standard deviations is met. Be that as it may, ready to make a few taught surmises based on what we know almost each gather.

The primary gather, which did not think about, is likely to have a bigger change in scores than the other two bunches since understudies with shifting levels of arrangement and capacity took the test. Subsequently, we might anticipate the standard deviation of this group to be bigger than that of the other two bunches.

It is conceivable that the condition of rise to standard deviations isn't met. In case the condition of equal standard deviations isn't met, we may require to utilize an altered adaptation of ANOVA, such as Welch's ANOVA, which does not expect a rise in changes. 

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The equation c = 64 - d is a linear equation, and the value of c in the equation is 64 1/6

The equation is given as:

c = 64 - d

The value of d is given as:

d = -1/6

Substitute -1/6 for d in c = 64 - d

c = 64 - -1/6

Evaluate the difference

c = 64 1/6

Hence, the value of c in the equation is 64 1/6

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The largest population to which the results can be generalized is in option C i.e. All student-athletes at the college.

Population: A population can be described as a complete group with at least one characteristic in common and a sample of the population can be used to get the features of the population.

We were told that a random sample of 50 student-athletes from all the student-athletes at a college, even though the population can be used to have an idea about how the consumption of beetroot juice enhances exercise performance, and it can not be used to get the results that can be generalized as more than 50 students-athletes is required which is chosen randomly.

All the other options are wrong because of this reason.

Therefore, option C is correct.

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Answer:

Ana is correct

Step-by-step explanation:

Given

\(Sequence:\ -10, -4, 2,8\)

\(Carlos; f(n) = -10 + 6n\)

\(Ana; f(n) = -10 + 6(n-1)\)

Required

Determine who is right?

To do this, we simply test each sequence.

For Carlos:

When n = 1

\(f(1) = -10 + 6 * 1 = -10 + 6 = -4\)

When n = 2

\(f(2) = -10 + 6 * 2 = -10 + 12 = 2\)

This is incorrect because the first and second term of the sequence are -10 and -4 not -4 and 2

For Ana:

When n = 1

\(f(1) = -10 + 6(1-1) = -10 + 6*0 = -10 + 0 = -10\)

When n = 2

\(f(2) = -10 + 6(2-1) = -10 + 6*1 = -10 + 6 = -4\)

When n=3

\(f(3) = -10 + 6(3-1) = -10 + 6*2 = -10 + 12 = 2\)

When n = 4

\(f(4) = -10 + 6(4-1) = -10 + 6*3 = -10 + 18 = 8\)

This is correct.

Hence, Ana is correct

Answer:

Ana is right

Step-by-step explanation:

Mark the other person brainliest they did really good!

The sum of the lengths of the two smaller sides is not greater than the length of the largest side. Therefore, a triangle with side lengths of 3, 7, and 11 cannot exist.

To determine if the sides of a triangle can have lengths 3, 7, and 11, we can use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.In this case, let's compare the sum of the two smaller sides (3 and 7) to the largest side (11).3 + 7 = 10 < 11.

Therefore, the sum of the lengths of the two smaller sides is not greater than the length of the largest side.

Therefore, a triangle with side lengths of 3, 7, and 11 cannot exist.

This makes sense because if we try to draw a triangle with these side lengths, we would find that the two shorter sides cannot connect to form a triangle with the longer side.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Answer:

(-4,-18) and (5,90)

Step-by-step explanation:

I'll assume the first equation is supposed to be y – 10 = 11x + x^2

This is a parabola.  The second equation is a straight line:  

y – 12x = 30

We want to find the points at which these lines intersect.  They will intersect for any (x,y) that

Let's rearrange the second equation to isolate y:

y – 12x = 30

y  = 30 + 12x

Now we can take the this value of y and substitute it into the first equation:

y – 10 = 11x + x^2

(30 + 12x) – 10 = 11x + x^2

20 + 12x = 11x + x^2

0 = x^2 -x -20

We can factor this into (x+4)(x-5)

That means x can be either -4 or 5.

Find the value of y using these values of x in both original equations:

For x = -4

y – 10 = 11x + x^2

y  = 11x + x^2 + 10

y = 11(-4)+(-4)^2 +10

y = -44 + 16 + 10

y = -18    The point both lines meet is at (-4, -18) which was already given in the problem.  

For x = 5

y – 10 = 11x + x^2

y  = 11x + x^2 + 10

y  = 11(5) + (5)^2 + 10

y  = 55 + 25 + 10

y = 90

The second point both lines meet is (5,90).

We should use both solutions in the second equation to verify these values, but I'll graph them, instead.  See the attached graph to prove these points are correct.

a. In a random sample of 1,000 births, the expected number of births that take place by Caesarian section is:

E(X) = n*p = 1,000 * 0.32 = 320 births

Therefore, on average, 320 births out of 1,000 will take place by Caesarian section.

b. The variance of the number of Caesarian section births in a sample of 1,000 births is:

Var(X) = np(1-p) = 1,000 * 0.32 * (1-0.32) = 217.60

The standard deviation is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(217.60) = 14.76

Therefore, the standard deviation of the number of Caesarian section births in a sample of 1,000 births is 14.76.

c. To form an interval that is likely to contain the number of Caesarian section births in a sample of 1,000 births, we can use the normal distribution and the central limit theorem. Since n*p = 320 is greater than 10, we can assume that the distribution of the number of Caesarian section births in a sample of 1,000 births is approximately normal.

The 95% confidence interval for the number of Caesarian section births is:

320 ± 1.96*(14.76) = (291.16, 348.84)

Therefore, we can be 95% confident that the number of Caesarian section births in a sample of 1,000 births will be between 291 and 349.

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Answer:

down

Step-by-step explanation:

In mathematics a when dealing with graphs a translation is basically just moving points left/right and up/down but it does not change the shape of the original figure in any way just moves its position. In this scenario, the down arrow's tip will be moved from point (2,0) to (-3,1) but the arrow will still be the same size and still be pointing downward.

Answer:

Step-by-step explanation:

(x + 1)/2 = 6

x + 1 = 12

x = 11

(y -10)/2 = -6

y - 10 = -12

y = -2

(11, -2)

Answer:

inverse function f⁻(x) = 1 / (4x + 8)

Mark it as brainlist answer

Step-by-step explanation:

The number less than 3,000.when you divide me by 32, my remainder is 30. when you divide me by 58, my remainder is 44 is one of this {798, 1726, 2654}.

There exists a, b∈N such as

N= 30+32a=44+58b

Therefore,

16a-29b= 22-15=7

Let us notice that 5×29-9×16=1

Therefore, 35×29-63×16=7

Hence, a= -63 is a non-fundamental solution to our equation.

We can show that the other solution are of the form a=-63+29k, with k∈Z

Therefore, the first positive solutions are

a= -63+3×29= 24

N= 798

a= -63+4×29= 53

N= 1726

a= -63+5×29=82

N= -63+6×29= 111

N= 3582

Therefore, the number is one of {798, 1726, 2654}.

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The number of snacks they can buy to split among them is 3.

Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie ticket costs $9.5, and each snack item costs $4.5. We need to calculate the number of snacks they can buy.

Let the number of snacks they can buy be represented by the variable "n". The total money is $65. The amount of money left after buying movie tickets for all the people is calculated below.

C = 65 - 5*9.5

C = 65 - 47.5

C = 17.5

Hence, they have $17.5 to spend on snacks. The number of snacks they can buy is determined by the ratio of the money left to the price of each snack.

n = 17.5/4.5

n = 3.89

They can buy the snacks in whole numbers. Hence, the number of snacks they can buy is 3.

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